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Dynamically Stable Sets in Infinite Strategy Spaces

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  • Thomas Norman

Abstract

Evolutionary game theory has largely focused on finite games. Dynamic stability is harder to attain in infinite strategy spaces; Bomze (Monatshefte fur Mathematik 110, 1990, 189-206) and Oechssler and Riedel (Economic Theory 17, 2001, 141-162) provide conditions for the stability of rest points under the replicator dynamics. Here, conditions are given for the stability of sets of strategies under this process.

Suggested Citation

  • Thomas Norman, 2005. "Dynamically Stable Sets in Infinite Strategy Spaces," Economics Series Working Papers 251, University of Oxford, Department of Economics.
  • Handle: RePEc:oxf:wpaper:251
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    File URL: http://www.economics.ox.ac.uk/materials/working_papers/paper251.pdf
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    References listed on IDEAS

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    Cited by:

    1. Sivan Frenkel & Yuval Heller & Roee Teper, 2017. "The Endowment Effect as a Blessing," Working Papers 2017-06, Bar-Ilan University, Department of Economics.
    2. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications, Elsevier.
    3. Roee Teper, 2014. "The Endowment Effect as a Blessing," Working Paper 5862, Department of Economics, University of Pittsburgh.
    4. Norman, Thomas W.L., 2012. "Equilibrium selection and the dynamic evolution of preferences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 311-320.

    More about this item

    Keywords

    Replicator dynamics; Evolutionary stability; Continouus strategy spaces; Stable sets;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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